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10000210020 = 22352331233759
BaseRepresentation
bin10010101000000111…
…10001100001100100
3221210221011022012220
421110003301201210
5130440023210040
64332151112340
7502546245153
oct112403614144
927727138186
1010000210020
114271948889
121b310726b0
13c34a61c48
146ac1b959a
153d7e002d0
hex2540f1864

10000210020 has 96 divisors (see below), whose sum is σ = 30160650240. Its totient is φ = 2468484480.

The previous prime is 10000210013. The next prime is 10000210027. The reversal of 10000210020 is 2001200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000210013) and next prime (10000210027).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10000209990 and 10000210008.

It is not an unprimeable number, because it can be changed into a prime (10000210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74100 + ... + 159659.

It is an arithmetic number, because the mean of its divisors is an integer number (314173440).

Almost surely, 210000210020 is an apocalyptic number.

10000210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000210020 is an abundant number, since it is smaller than the sum of its proper divisors (20160440220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10000210020 is a wasteful number, since it uses less digits than its factorization.

10000210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233825 (or 233823 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10000210020 its reverse (2001200001), we get a palindrome (12001410021).

The spelling of 10000210020 in words is "ten billion, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 7130 8556 10695 14260 21390 42780 233759 467518 701277 935036 1168795 1402554 2337590 2805108 3506385 4675180 5376457 7012770 7246529 10752914 14025540 14493058 16129371 21505828 21739587 26882285 28986116 32258742 36232645 43479174 53764570 64517484 72465290 80646855 86958348 107529140 108697935 144930580 161293710 166670167 217395870 322587420 333340334 434791740 500010501 666680668 833350835 1000021002 1666701670 2000042004 2500052505 3333403340 5000105010 10000210020